convergence/divergence for an infinite product

Consider ${\prod }_{n=1}^{\mathrm{\infty }}{p}_n$. We say that this infinite product converges iff the finite products $P_m={\prod }_{n=1}^m{p}_n⟶P$ converge. Otherwise the infinite product is called divergent.

Title	convergence/divergence for an infinite product
Canonical name	ConvergencedivergenceForAnInfiniteProduct
Date of creation	2013-03-22 13:36:11
Last modified on	2013-03-22 13:36:11
Owner	aoh45 (5079)
Last modified by	aoh45 (5079)
Numerical id	13
Author	aoh45 (5079)
Entry type	Definition
Classification	msc 30E20
Related topic	AbsoluteConvergenceImpliesConvergenceForAnInfiniteProduct